The branching process in a brownian excursion

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1. [F] Feller, W. (1968). An Introduction to Probability Theory and Its Applications, Vol I. Wiley, New York. Zbl0039.13201MR228020
2. [GP] Greenwood, P. and Pitman, J.W. (1980): Fluctuation identities for Lévy processes and splitting at the maximum. Adv. Appl. Prob.12, 893-902. Zbl0443.60037MR588409
3. [I] Itô, K. (1970). Poisson point processes attached to Markov processes. Proc. Sixth Berkeley Symp. Math. Statist. Prob.University of California Press, Berkeley, 225-239. Zbl0284.60051MR402949
4. [LG] Le Gall, J.-F. (1989). Marches aléatoires, mouvement brownien et processus de branchement. Article in this volume. Zbl0741.60078
5. [NP] Neveu, J. and Pitman, J.W. (1989). Renewal property of the extrema and tree property of the excursion of a one dimensional Brownian motion. Article in this volume. Zbl0741.60080
6. [R1] Rogers, L.C.G. (1981): Williams' characterisation of the Brownian excursion law: proof and applications. Séminaire de Probabilités XV (Univ. Strasbourg), pp. 227-250. Lecture Notes Math.850, Springer-Verlag, Berlin. Zbl0462.60078MR622566
7. [R2] Rogers, L.C.G. (1983). Itô excursion theory via resolvents. Z. Wahrscheinlichkeitstheorie verw. Gebeite63, 237-255. Zbl0528.60073MR701528
8. [W] Walsh, J. (1978). Downcrossings and the Markov property of local time. Temps Locaux, Astérisque 52-53, 89-115. 
9. [W1] Williams, D. (1974). Path decomposition and continuity of local time for one-dimensional diffusions. Proc. London Math. Soc., Ser. 3, 28, 738-768. Zbl0326.60093MR350881
10. [W2] Williams, D. (1979). Diffusions, Markov Processes, and Martingales. Vol I. Wiley, New York. Zbl0402.60003MR531031

1. David G. Hobson, Marked excursions and random trees
2. Y. Le Jan, Superprocesses and projective limits of branching Markov process
3. Romain Abraham, Un arbre aléatoire infini associé à l'excursion brownienne